Dr. Edwards is a veterinarian who sees only dogs and cats. In each appointment, he may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Edwards's 60 appointments last week. \begin{tabular}{|c|c|c|} \hline & Vaccine & No vaccine \\ \hline Dog & 8 & 22 \\ \hline Cat & 18 & 12 \\ \hline \end{tabular} Let cat be the event that a randomly chosen appointment (from the table) involved a cat. Let no vaccine be the event that a randomly chosen appointment (from the table) did not include a vaccine. Find the following probabilities. Write your answers as decimals. (a) \( P( \) cat \( )= \) \( \square \) (b) \( P( \) no vaccine and cat) \( = \) \( \square \) (c) P (no vaccine | cat) \( = \) \( \square \)
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Dr. Alexander is a veterinarian who sees only dogs and cats. In each appointment, he may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Alexander's 80 appointments last week. | | Cat | Dog | | :--- | :--- | :--- | | No vaccine | 18 | 22 | | Vaccine | 24 | 16 | Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Let cat be the event that a randomly chosen appointment (from the table) involved a cat. Find the following probabilities. Write your answers as decimals. (a) P(vaccine) = (b) P(cat and vaccine) = (c) P(cat | vaccine) =
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